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Finding the Third Proportional to 452,654 and 986,470

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Solution

The third proportional to 452,654 and 986,470 is: 2,149,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,654 : 986,470 = 986,470 : x
  2. Step 2: Convert to fraction form
    452,654/986,470 = 986,470/x
  3. Step 3: Cross multiply
    452,654x = 986,470 × 986,470
  4. Step 4: Simplify right side
    452,654x = 973,123,060,900
  5. Step 5: Solve for x
    x = 973,123,060,900/452,654
  6. Step 6: Final answer
    x = 2,149,816.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.